Answer:
Step-by-step explanation:
We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.
Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.
Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.
, where,
r = Radius of cylinder,
h = height of the cylinder.
Upon substituting our given values in volume formula we will get,
Therefore, the volume of earth removed to build the three tunnels is .
The cafeteria sold ten turkey sandwiches and they sold four ham sandwiches there are 6 more turkey than ham sold and 10 plus 4 is 14 so voalla your welcome
Answer:
what is the problem
Step-by-step explanation:
Answer:
35.6047 inches
Step-by-step explanation:
The wiper blade moves in a circular way, where the radius is 30 inches.
To find how far the bug travelled, we just need to use a rule of three, where the length of the circunference relates to a angle of 360 degrees:
360 degrees -> 2 * pi * radius
68 degrees -> distance
distance * 360 = 2 * pi * radius * 68
distance = 2 * pi * 30 * 68 / 360 = 35.6047 inches
You should use a T distribution to find the critical T value based on the level of confidence. The confidence level is often given to you directly. If not, then look for the significance level alpha and compute C = 1-alpha to get the confidence level. For instance, alpha = 0.05 means C = 1-0.05 = 0.95 = 95% confidence
Use either a table or a calculator to find the critical T value. When you find the critical value, assign it to the variable t.
Next, you'll compute the differences of each pair of values. Form a new column to keep everything organized. Sum everything in this new column to get the sum of the differences, which then you'll divide that by the sample size n to get the mean of the differences. Call this dbar (combination of d and xbar)
After that, you'll need the standard deviation of the differences. I recommend using a calculator to quickly find this. A spreadsheet program is also handy as well. Let sd be the standard deviation of the differences
The confidence interval is in the form (L, U)
L = lower bound
L = dbar - t*sd/sqrt(n)
U = upper bound
U = dbar + t*sd/sqrt(n)
